Systems And Methods For Wavelet Transform Using Mean-Adjusted Wavelets
First Claim
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1. A method for transforming a signal using a continuous wavelet transform, the method comprising:
- generating, using electronic processing equipment, a truncated wavelet from an original wavelet, wherein at least part of the truncated wavelet has a non-zero mean;
forcing, using the electronic processing equipment, the mean of the part of the truncated wavelet to zero to generate a mean-adjusted wavelet; and
performing, using the electronic processing equipment, the continuous wavelet transform on the signal using the mean-adjusted wavelet to generate a transformed signal.
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Abstract
Methods and systems are disclosed for transforming a signal using a continuous wavelet transform based at least in part on a truncated, mean-adjusted wavelet. A wavelet may be truncated to a finite support to generate a truncated wavelet. The real part of the truncated wavelet may be forced to have a zero mean to generate a truncated, mean-adjusted wavelet. The signal may be transformed using a continuous wavelet transform based at least in part on the truncated mean-adjusted wavelet. Information may be derived about the signal from the transformed signal.
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20 Claims
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1. A method for transforming a signal using a continuous wavelet transform, the method comprising:
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generating, using electronic processing equipment, a truncated wavelet from an original wavelet, wherein at least part of the truncated wavelet has a non-zero mean; forcing, using the electronic processing equipment, the mean of the part of the truncated wavelet to zero to generate a mean-adjusted wavelet; and performing, using the electronic processing equipment, the continuous wavelet transform on the signal using the mean-adjusted wavelet to generate a transformed signal. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8)
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9. A system for transforming a signal using a continuous wavelet transform, the system comprising:
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an electronic processing equipment configured to; generate a truncated wavelet from an original wavelet, wherein a part of the truncated wavelet has a non-zero mean; force the mean of at least part of the truncated wavelet to zero to generate a mean-adjusted wavelet; and perform the continuous wavelet transform on the signal using the mean-adjusted wavelet to generate a transformed signal. - View Dependent Claims (10, 11, 12, 13, 14, 15, 16)
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17. A method for determining physiological information from a photoplethysmograph (PPG) signal, the method comprising:
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collecting the PPG signal using an oximeter; transforming using electronic processing equipment the PPG signal based at least in part on a continuous wavelet transform wherein the transforming comprises; truncating a wavelet to generate a truncated wavelet, forcing the mean of at least part of the truncated wavelet to zero to generate a mean-adjusted wavelet, and generating a wavelet transform of the PPG signal using the mean-adjusted wavelet; and determining, using the electronic processing equipment, the physiological information based at least in part on the wavelet transform of the PPG signal. - View Dependent Claims (18, 19, 20)
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Specification